Two wires of different materials have same length 'L' and same diameter 'd'. The second wire is connected at…
Two wires of different materials have same length 'L' and same diameter 'd'. The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force 'F' to produce the elongation ' $\ell^{\prime}$. The two wires have
same stress and same strain
different stress but same strain
different stress and different strain
same stress but different strain
Solution
same stress but different strain
Consider the figure shown below
As,' force on both wire is same and their areas are also same.
Hence, the stress on both wire will be same. The strain is given by
Strain $=\frac{\text { Stress }}{Y}$
where, Y is Young's modulus.
For different material the value of Young's modulus is different.
Hence, strain for both wires is different.